Results 1 to 10 of about 114,095,801 (232)
Ideals and Homomorphism Theorems of Fuzzy Associative Algebras
MathematicsBased on the definitions of fuzzy associative algebras and fuzzy ideals, it is proven that the intersections of fuzzy subalgebras are fuzzy subalgebras, and the intersections of fuzzy ideals are fuzzy ideals. Moreover, we prove that the kernels of fuzzy homomorphisms are fuzzy ideals.
Yang, Xiaoman, Zhou, Xin
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On ideals of free associative algebras generated by a single element
Journal of Algebra, 1968 In the 1930’s, Wilhelm Magnus [.5], [6] proved some deep theorems about groups presented on a single relation, perhaps the most famous of which are the Freiheitssatz and the solvability of the word problem. With the proper definitions, the statements of Magnus’ theorems translate immediately into conjectures about associative linear algebras.
Jacques Lewin
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Jordan-Lie Inner Ideals of the Orthogonal Lie Algebras
Wasit Journal of Computer and Mathematics Science, 2022 Let be an associative algebra over a field F of any characteristic with involution * and let K=skew(A)={a in A|a*=-a} be its corresponding sub-algebra under the Lie product [a,b]=ab-ba for all a,b in A .
Falah Saad Kareem, Hasan M. Shlaka
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On Real Algebras Associated with Ideal Convergence
Real Analysis Exchange, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Balaz, Vladimir +2 more
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Alternator and associator ideal algebras [PDF]
Transactions of the American Mathematical Society, 1977 If I is the ideal generated by all associators, ( a , b ,
Hentzel, Irvin Roy +2 more
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On the Comaximal (Ideal) Graph Associated With Amalgamated Algebra
Discrete Mathematics Letters, 2022 Summary: Let \(f:A \rightarrow B\) be a ring homomorphism of the commutative rings \(A\) and \(B\) with identities. Let \(J\) be an ideal of \(B\). The amalgamation of \(A\) with \(B\) along \(J\) with respect to \(f\) is a subring of \(A \times B\) given by \(A \bowtie^f J:=\{(a, f(a) +j)|a \in A\), \(j \in J\}\).
Zinat Rastgar +2 more
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Commutator Ideals and Semicommutator Ideals of Toeplitz Algebras Associated with Flows [PDF]
Proceedings of the American Mathematical Society, 1992 We prove that for a Toeplitz C ∗
Muhly, Paul S., Xia, Jingbo
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Ideals of the associative algebra operad
, 2023 We prove a one-to-one correspondence between the operadic ideals of the operad $\As$ and $T$-ideals. As a consequence, we show that $\As$ is noetherian and that every proper operadic ideal of $\ias$ is generated by a single element.
Bao, Y. -H. +4 more
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KdV hierarchies and quantum Novikov's equations [PDF]
Open Communications in Nonlinear Mathematical PhysicsThis paper begins with a review of the well-known KdV hierarchy, the $N$-th Novikov equation, and its finite hierarchy in the classical commutative case. This finite hierarchy consists of $N$ compatible integrable polynomial dynamical systems in $\mathbb{
V. M. Buchstaber, A. V. Mikhailov
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A filtration associated to an abelian inner ideal of a Lie algebra
Journal of Geometry and Physics, 2023 We would like to thank the referee for his/her careful reading of the paper and his/her useful comments and remarks.
Esther García +2 more
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